#library(data.table)
library(ggplot2)
library(gridExtra)
library(tabplot)
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## package:bit (c) 2008-2012 Jens Oehlschlaegel (GPL-2)
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#library(lsr)
library(corrplot)
## corrplot 0.84 loaded
library(dplyr)
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library(VIM)
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#library(caret)
#library(RANN)
library(reshape2)
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house_train <- read.csv("~/Documents/NYC Data Science Academy/Project_3_Kaggle/train.csv", 
                        header = TRUE, 
                        na.strings = c("", "NA"),
                        stringsAsFactors = TRUE)
house_sub <- house_train[,c(3,13,17,18,20,28,30,31,44,45,47,50,55,61,62,63,64,65,66,79,80,81)]

house_sub$SalePriceCat <- as.factor(as.numeric(cut_number(house_sub$SalePrice, 10)))
variable_list = c('MSZoning','Neighborhood','HouseStyle','OverallQual','YearBuilt','ExterQual','Foundation','BsmtQual','X1stFlrSF','X2ndFlrSF','GrLivArea','FullBath','TotRmsAbvGrd','GarageFinish','GarageCars','GarageArea','GarageQual','GarageCond','PavedDrive','SaleType','SaleCondition')

numeric_variables = variable_list[c(4,5,9,10,11,12,13,15,16)]
ordinal_variables = variable_list[c(6,8,14,17,18,19)]
## histogram on SalePrice
grid.arrange(ggplot(house_train) + 
               geom_histogram(aes(SalePrice), bins = 20), 
             ggplot(house_train) + 
               geom_histogram(aes(log(SalePrice + 1)), bins = 20), 
             ncol = 2)

table plot all features on sortded SalePrice

colMtx <- matrix(names(house_sub)[1:length(house_sub)-1], nrow = 6)
## Warning in matrix(names(house_sub)[1:length(house_sub) - 1], nrow = 6):
## data length [22] is not a sub-multiple or multiple of the number of rows
## [6]
for (i in 1:ncol(colMtx)) {
  tableplot(house_train, 
            select_string = c(colMtx[,i], "SalePrice"), 
            sortCol = "SalePrice", decreasing = TRUE, 
            nBins = 30)
}

Correlations between Continuous Variables

numeric_features <- names(house_sub)[sapply(house_sub, is.numeric)]
print(numeric_features)
##  [1] "OverallQual"  "YearBuilt"    "X1stFlrSF"    "X2ndFlrSF"   
##  [5] "GrLivArea"    "FullBath"     "TotRmsAbvGrd" "GarageCars"  
##  [9] "GarageArea"   "SalePrice"
corr_numtran <- cor(house_sub %>% 
                      select(one_of(numeric_features, "SalePrice")), 
                    method = "pearson", 
                    use = "pairwise.complete.obs")

corrplot(corr_numtran, method = "color", order="hclust")

cor(house_sub$FullBath, house_sub$SalePrice)
## [1] 0.5606638
attach(house_sub)
cor(OverallQual, SalePrice)
## [1] 0.7909816
cor(YearBuilt, SalePrice)
## [1] 0.5228973
cor(X1stFlrSF, SalePrice)
## [1] 0.6058522
cor(X2ndFlrSF, SalePrice)
## [1] 0.3193338
cor(GrLivArea, SalePrice)
## [1] 0.7086245
cor(FullBath, SalePrice)
## [1] 0.5606638
cor(TotRmsAbvGrd, SalePrice)
## [1] 0.5337232
cor(GarageCars, SalePrice)
## [1] 0.6404092
cor(GarageArea, SalePrice)
## [1] 0.6234314
numeric_df <- house_sub %>% select(numeric_features)
numeric_melt  <- melt(numeric_df)
## No id variables; using all as measure variables
ggplot(data = numeric_melt, mapping = aes(x = value)) + 
    geom_histogram(bins = 10) + facet_wrap(~variable, scales = 'free_x')

g <- ggplot(house_sub, aes(y=SalePrice))

g + geom_point(aes(x=OverallQual))

g + geom_point(aes(x=YearBuilt))

g + geom_point(aes(x=X1stFlrSF))

g + geom_point(aes(x=X2ndFlrSF))

g + geom_point(aes(x=GrLivArea))

g + geom_point(aes(x=FullBath))

g + geom_point(aes(x=TotRmsAbvGrd))

g + geom_point(aes(x=GarageCars))

g + geom_point(aes(x=GarageArea))

Correlations for Ordinal Values

## ordinal features are those who contain one of the follow levels
corr_ordtran <- cor(data.matrix(house_sub %>% 
                                  select(one_of(ordinal_variables))),
                    method = "kendall", 
                    use = "pairwise.complete.obs")
corrplot(corr_ordtran, method = "color", order="hclust")

n_fun <- function(x){
  return(data.frame(y = median(x), label = paste0("n = ",length(x))))
}

g0 <- ggplot(data = house_sub, aes(x = MSZoning))
g0 + geom_bar()

g0 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g1 <- ggplot(data = house_sub, aes(x = Neighborhood))
g1 + geom_bar() + coord_flip()

g1 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = .9), fun.data = n_fun, geom = "text") + coord_flip()

g2 <- ggplot(data = house_sub, aes(x = HouseStyle))
g2 + geom_bar()

g2 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g3 <- ggplot(data = house_sub, aes(x = ExterQual))
g3 + geom_bar()

g3 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g4 <- ggplot(data = house_sub, aes(x = Foundation))
g4 + geom_bar()

g4 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g5 <- ggplot(data = house_sub, aes(x = BsmtQual))
g5 + geom_bar()

g5 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g6 <- ggplot(data = house_sub, aes(x = GarageFinish))
g6 + geom_bar()

g6 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g7 <- ggplot(data = house_sub, aes(x = GarageQual))
g7 + geom_bar()

g7 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g8 <- ggplot(data = house_sub, aes(x = GarageCond))
g8 + geom_bar()

g8 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g9 <- ggplot(data = house_sub, aes(x = PavedDrive))
g9 + geom_bar()

g9 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g10 <- ggplot(data = house_sub, aes(x = SaleType))
g10 + geom_bar()

g10 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g11 <- ggplot(data = house_sub, aes(x = SaleCondition))
g11 + geom_bar()

g11 + geom_bar(aes(fill = SalePriceCat), position = 'fill') + scale_color_brewer("RdYlGn") + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

#n_fun <- function(x){
#  return(data.frame(y = median(x), label = paste0("n = ",length(x))))
#}

g0 <- ggplot(data = house_sub, aes(x = MSZoning, y=SalePrice))
g0 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g1 <- ggplot(data = house_sub, aes(x = Neighborhood, y=SalePrice))
g1 + geom_boxplot() + stat_summary(aes(y = .9), fun.data = n_fun, geom = "text") + coord_flip()

g2 <- ggplot(data = house_sub, aes(x = HouseStyle, y=SalePrice))
g2 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g3 <- ggplot(data = house_sub, aes(x = ExterQual, y=SalePrice))
g3 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g4 <- ggplot(data = house_sub, aes(x = Foundation, y=SalePrice))
g4 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g5 <- ggplot(data = house_sub, aes(x = BsmtQual, y=SalePrice))
g5 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g6 <- ggplot(data = house_sub, aes(x = GarageFinish, y=SalePrice))
g6 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g7 <- ggplot(data = house_sub, aes(x = GarageQual, y=SalePrice))
g7 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g8 <- ggplot(data = house_sub, aes(x = GarageCond, y=SalePrice))
g8 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g9 <- ggplot(data = house_sub, aes(x = PavedDrive, y=SalePrice))
g9 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g10 <- ggplot(data = house_sub, aes(x = SaleType, y=SalePrice))
g10 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

g11 <- ggplot(data = house_sub, aes(x = SaleCondition, y=SalePrice))
g11 + geom_boxplot() + stat_summary(aes(y = 1.05), fun.data = n_fun, geom = "text")

Missingness

Categorical Values

sum(is.na(MSZoning))
## [1] 0
sum(is.na(Neighborhood))
## [1] 0
sum(is.na(HouseStyle))
## [1] 0
sum(is.na(OverallQual))
## [1] 0
sum(is.na(YearBuilt))
## [1] 0
sum(is.na(ExterQual))
## [1] 0
sum(is.na(Foundation))
## [1] 0
sum(is.na(BsmtQual))
## [1] 37
sum(is.na(X1stFlrSF))
## [1] 0
sum(is.na(X2ndFlrSF))
## [1] 0
sum(is.na(GrLivArea))
## [1] 0
sum(is.na(FullBath))
## [1] 0
sum(is.na(TotRmsAbvGrd))
## [1] 0
sum(is.na(GarageFinish))
## [1] 81
sum(is.na(GarageCars))
## [1] 0
sum(is.na(GarageArea))
## [1] 0
sum(is.na(GarageQual))
## [1] 81
sum(is.na(GarageCond))
## [1] 81
sum(is.na(PavedDrive))
## [1] 0
sum(is.na(SaleType))
## [1] 0
sum(is.na(SaleCondition))
## [1] 0
## check missing values
col_missing <- names(house_sub)[colSums(is.na(house_sub)) > 0]
aggr(house_sub[,col_missing], prop = F, numbers = T)

Filter(function(x) x > 0, colSums(is.na(house_sub)))
##     BsmtQual GarageFinish   GarageQual   GarageCond 
##           37           81           81           81
sum(OverallQual < (quantile(OverallQual, .25) - 1.5*IQR(OverallQual)))
## [1] 2
sum(OverallQual > (quantile(OverallQual, .75) + 1.5*IQR(OverallQual)))
## [1] 0
sum(YearBuilt < (quantile(YearBuilt, .25) - 1.5*IQR(YearBuilt)))
## [1] 7
sum(YearBuilt > (quantile(YearBuilt, .75) + 1.5*IQR(YearBuilt)))
## [1] 0
sum(X1stFlrSF < (quantile(X1stFlrSF, .25) - 1.5*IQR(X1stFlrSF)))
## [1] 0
sum(X1stFlrSF > (quantile(X1stFlrSF, .75) + 1.5*IQR(X1stFlrSF)))
## [1] 20
sum(X2ndFlrSF < (quantile(X2ndFlrSF, .25) - 1.5*IQR(X2ndFlrSF)))
## [1] 0
sum(X2ndFlrSF > (quantile(X2ndFlrSF, .75) + 1.5*IQR(X2ndFlrSF)))
## [1] 2
sum(GrLivArea < (quantile(GrLivArea, .25) - 1.5*IQR(GrLivArea)))
## [1] 0
sum(GrLivArea > (quantile(GrLivArea, .75) + 1.5*IQR(GrLivArea)))
## [1] 31
sum(FullBath < (quantile(FullBath, .25) - 1.5*IQR(FullBath)))
## [1] 0
sum(FullBath > (quantile(FullBath, .75) + 1.5*IQR(FullBath)))
## [1] 0
sum(TotRmsAbvGrd < (quantile(TotRmsAbvGrd, .25) - 1.5*IQR(TotRmsAbvGrd)))
## [1] 0
sum(TotRmsAbvGrd > (quantile(TotRmsAbvGrd, .75) + 1.5*IQR(TotRmsAbvGrd)))
## [1] 30
sum(GarageCars < (quantile(GarageCars, .25) - 1.5*IQR(GarageCars)))
## [1] 0
sum(GarageCars > (quantile(GarageCars, .75) + 1.5*IQR(GarageCars)))
## [1] 5
sum(GarageArea < (quantile(GarageArea, .25) - 1.5*IQR(GarageArea)))
## [1] 0
sum(GarageArea > (quantile(GarageArea, .75) + 1.5*IQR(GarageArea)))
## [1] 21

Categorical Values

apply(house_sub, MARGIN = 2, table)
## $MSZoning
## 
## C (all)      FV      RH      RL      RM 
##      10      65      16    1151     218 
## 
## $Neighborhood
## 
## Blmngtn Blueste  BrDale BrkSide ClearCr CollgCr Crawfor Edwards Gilbert 
##      17       2      16      58      28     150      51     100      79 
##  IDOTRR MeadowV Mitchel   NAmes NoRidge NPkVill NridgHt  NWAmes OldTown 
##      37      17      49     225      41       9      77      73     113 
##  Sawyer SawyerW Somerst StoneBr   SWISU  Timber Veenker 
##      74      59      86      25      25      38      11 
## 
## $HouseStyle
## 
## 1.5Fin 1.5Unf 1Story 2.5Fin 2.5Unf 2Story SFoyer   SLvl 
##    154     14    726      8     11    445     37     65 
## 
## $OverallQual
## 
##   1   2   3   4   5   6   7   8   9  10 
##   2   3  20 116 397 374 319 168  43  18 
## 
## $YearBuilt
## 
## 1872 1875 1880 1882 1885 1890 1892 1893 1898 1900 1904 1905 1906 1908 1910 
##    1    1    4    1    2    2    2    1    1   10    1    1    1    2   17 
## 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 
##    1    3    1    7   10    8    1    7    3   30    6    8    7    7   16 
## 1926 1927 1928 1929 1930 1931 1932 1934 1935 1936 1937 1938 1939 1940 1941 
##    9    3    7    4    9    6    4    3    6    9    5    4    8   18   15 
## 1942 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 
##    2    6    7    5   14   12   20    6    5   12   24   16   14   20   24 
## 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 
##   26   17   14   19   16   15   24   18   16   22   14   24   22   23   11 
## 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 
##   10    8   33   32   16    9   10    5    6    4    9    5    5    3   11 
## 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 
##    3   12    5   13   17   19   18   15   14   25   25   24   20   23   45 
## 2004 2005 2006 2007 2008 2009 2010 
##   54   64   67   49   23   18    1 
## 
## $ExterQual
## 
##  Ex  Fa  Gd  TA 
##  52  14 488 906 
## 
## $Foundation
## 
## BrkTil CBlock  PConc   Slab  Stone   Wood 
##    146    634    647     24      6      3 
## 
## $BsmtQual
## 
##  Ex  Fa  Gd  TA 
## 121  35 618 649 
## 
## $X1stFlrSF
## 
##  334  372  438  480  483  495  520  525  526  536  546  551  561  572  575 
##    1    1    1    1    7    1    5    1    1    1    3    1    1    2    1 
##  576  581  596  600  605  612  616  624  625  626  630  649  658  660  661 
##    1    1    1    2    1    2    5    2    2    1    9    1    1    2    1 
##  663  664  672  673  676  679  680  682  684  686  689  691  693  694  696 
##    1    1   11    1    1    1    1    1    3    1    2    2    1    3    1 
##  697  698  702  703  707  708  713  716  720  725  728  729  734  735  736 
##    2    5    1    1    2    2    1    2    6    2    6    3    2    2    1 
##  738  741  742  747  750  751  752  753  754  755  756  757  760  764  765 
##    1    1    3    2    1    1    1    1    1    1    4    2    1    6    2 
##  767  768  769  770  772  773  774  778  779  780  783  784  786  788  789 
##    1    5    2    1    1    3    5    2    2    5    1    2    2    2    2 
##  790  792  793  794  796  798  799  800  802  803  804  806  807  808  810 
##    2    3    1    1    5    5    1    2    2    2    5    1    2    3    4 
##  811  812  813  814  815  816  818  820  822  824  825  827  829  831  832 
##    2    1    1    1    1    9    1    2    1    1    2    2    1    1    7 
##  833  835  838  840  841  842  845  846  847  848  849  851  854  855  856 
##    3    1    1    6    2    1    2    1    4   12    1    1    2    4    1 
##  858  859  860  861  864  865  866  869  872  874  875  876  877  879  880 
##    5    1    4    1   25    1    4    2    2    3    1    2    1    1    2 
##  882  884  885  886  887  888  889  892  893  894  896  897  899  900  901 
##    6    4    1    1    1    3    1    4    1   12    2    1    1    4    3 
##  902  904  905  907  908  909  910  912  913  914  915  916  918  920  923 
##    4    3    1    1    1    1    3   14    1    1    1    3    3    2    2 
##  924  925  926  927  928  929  930  932  933  935  936  938  939  941  943 
##    1    2    2    1    4    1    1    2    1    1    7    2    2    1    3 
##  944  948  949  950  951  952  953  954  955  956  958  959  960  961  962 
##    3    5    1    2    1    4    2    3    2    2    5    2    7    2    1 
##  963  964  965  966  968  969  970  971  972  974  975  976  977  979  980 
##    1    2    1    1    3    1    4    1    2    1    1    3    1    3    5 
##  981  983  984  985  986  988  989  990  991  992  993  996  997  998  999 
##    2    3    1    1    1    5    1    6    1    1    2    2    3    1    3 
## 1001 1002 1003 1004 1005 1006 1007 1008 1010 1012 1013 1014 1015 1020 1021 
##    2    2    1    4    3    3    1    3    1    2    1    2    1    2    1 
## 1022 1024 1026 1028 1029 1032 1034 1035 1036 1038 1039 1040 1041 1042 1044 
##    4    1    5    2    1    3    1    1    1    1    1   16    2    1    1 
## 1047 1048 1050 1051 1052 1053 1054 1055 1056 1057 1058 1060 1061 1062 1063 
##    1    4    4    1    3    4    2    2    6    4    1    3    1    2    1 
## 1064 1065 1067 1068 1069 1071 1072 1073 1074 1075 1077 1078 1079 1080 1082 
##    1    2    2    1    2    1    5    2    1    1    3    2    2    5    2 
## 1085 1086 1088 1089 1090 1091 1092 1094 1095 1096 1097 1098 1099 1100 1103 
##    1    4    5    1    1    1    4    2    3    3    3    3    1    1    1 
## 1104 1105 1107 1108 1110 1112 1113 1114 1116 1117 1118 1120 1121 1122 1124 
##    1    1    1    2    1    3    3    2    1    1    2    5    2    2    1 
## 1125 1126 1127 1128 1130 1131 1132 1133 1134 1136 1137 1138 1140 1141 1142 
##    2    3    2    4    2    1    2    2    3    4    2    1    2    1    3 
## 1143 1144 1145 1146 1148 1149 1150 1152 1153 1154 1155 1156 1158 1159 1160 
##    1    5    2    1    3    2    1    3    2    1    1    1    2    1    2 
## 1161 1163 1164 1165 1166 1167 1168 1170 1172 1173 1175 1178 1180 1181 1182 
##    1    2    4    2    3    2    2    1    1    1    2    2    2    1    2 
## 1184 1186 1187 1188 1190 1192 1194 1195 1196 1199 1200 1203 1204 1207 1208 
##    1    1    1    4    2    1    2    1    2    1    5    1    1    1    3 
## 1210 1211 1212 1214 1215 1216 1217 1218 1220 1221 1222 1223 1224 1225 1226 
##    1    1    3    3    1    3    1    1    3    2    2    1    3    1    2 
## 1228 1229 1232 1234 1235 1236 1238 1240 1241 1242 1244 1246 1247 1248 1249 
##    2    1    2    2    1    5    1    1    1    1    1    2    1    1    1 
## 1251 1252 1253 1256 1258 1260 1261 1262 1264 1265 1266 1268 1269 1272 1274 
##    1    3    2    1    3    1    1    2    2    1    2    3    2    1    1 
## 1276 1277 1279 1281 1282 1283 1284 1285 1287 1288 1291 1294 1296 1297 1298 
##    3    2    1    1    1    1    1    1    1    1    2    2    2    1    2 
## 1299 1301 1302 1304 1306 1307 1309 1310 1314 1316 1318 1319 1320 1324 1325 
##    1    3    3    1    4    1    1    2    5    2    1    1    2    2    1 
## 1327 1328 1332 1334 1336 1337 1338 1339 1340 1342 1344 1349 1350 1352 1357 
##    1    4    1    1    1    4    2    2    2    1    3    1    2    3    1 
## 1358 1360 1361 1362 1363 1364 1368 1370 1372 1375 1377 1378 1381 1382 1383 
##    2    3    1    3    2    1    2    3    2    1    1    2    1    2    3 
## 1389 1390 1391 1392 1394 1402 1405 1407 1411 1412 1414 1416 1419 1422 1423 
##    1    1    2    5    1    1    1    1    1    1    3    1    1    5    1 
## 1425 1426 1428 1429 1430 1431 1432 1434 1436 1437 1440 1442 1444 1445 1453 
##    1    1    2    1    1    2    1    1    2    2    4    4    1    2    2 
## 1454 1456 1459 1462 1464 1465 1466 1468 1470 1472 1473 1476 1478 1479 1482 
##    1    1    1    1    2    1    3    2    1    1    1    2    3    2    2 
## 1484 1486 1489 1490 1493 1494 1496 1498 1500 1501 1502 1504 1505 1506 1507 
##    3    1    2    1    1    5    2    1    3    1    2    3    1    2    1 
## 1509 1512 1516 1518 1520 1521 1523 1525 1526 1530 1532 1533 1535 1536 1537 
##    1    1    2    3    1    1    1    1    1    2    1    1    3    1    1 
## 1541 1542 1547 1548 1549 1552 1553 1554 1555 1557 1559 1560 1561 1563 1566 
##    2    1    1    1    1    1    1    1    2    1    1    1    1    1    1 
## 1567 1569 1571 1572 1573 1574 1575 1576 1578 1580 1582 1584 1586 1588 1593 
##    2    1    1    2    1    1    2    1    1    2    1    2    1    2    1 
## 1600 1601 1602 1604 1610 1614 1616 1617 1619 1620 1621 1622 1624 1625 1629 
##    2    2    1    1    2    1    2    1    1    2    1    1    1    1    2 
## 1630 1632 1634 1636 1640 1644 1646 1647 1651 1652 1654 1656 1657 1659 1660 
##    2    2    1    2    1    2    3    1    1    3    1    3    1    1    1 
## 1661 1663 1664 1668 1670 1675 1679 1680 1682 1684 1686 1687 1689 1690 1694 
##    2    1    2    2    1    1    1    3    1    1    2    2    3    1    3 
## 1696 1698 1699 1700 1701 1702 1704 1707 1709 1710 1712 1713 1717 1718 1719 
##    1    1    2    2    1    1    1    1    1    2    1    1    1    2    1 
## 1720 1721 1724 1726 1728 1733 1734 1742 1746 1752 1766 1768 1771 1776 1779 
##    1    1    1    1    6    1    3    2    1    1    2    1    1    2    1 
## 1787 1788 1792 1795 1800 1801 1803 1811 1824 1826 1828 1831 1836 1838 1839 
##    1    1    1    2    3    1    1    1    1    1    1    1    2    1    1 
## 1842 1844 1848 1850 1856 1867 1869 1872 1888 1898 1902 1905 1922 1932 1940 
##    1    3    1    1    1    1    1    1    1    1    1    1    1    1    2 
## 1944 1959 1966 1968 1973 1976 1980 1987 1992 2000 2018 2020 2028 2036 2042 
##    1    1    1    1    1    1    1    1    1    2    1    2    1    1    1 
## 2046 2053 2069 2073 2076 2084 2097 2110 2113 2117 2121 2129 2136 2156 2158 
##    1    1    2    1    1    1    1    1    1    1    1    1    1    1    1 
## 2196 2207 2217 2223 2234 2259 2364 2392 2402 2411 2444 2515 2524 2633 2898 
##    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
## 3138 3228 4692 
##    1    1    1 
## 
## $X2ndFlrSF
## 
##    0  110  167  192  208  213  220  224  240  252  272  299  304  316  319 
##  829    1    1    1    1    1    1    1    2    2    1    1    1    1    1 
##  325  332  336  348  349  351  358  368  370  371  378  384  390  403  406 
##    1    1    1    1    1    1    1    1    1    1    1    2    1    1    2 
##  408  430  432  438  439  441  445  448  454  455  456  457  462  464  467 
##    2    1    2    1    1    1    2    2    1    1    1    1    1    1    2 
##  468  472  473  475  482  495  504  510  511  512  514  517  518  520  521 
##    1    2    1    1    1    1    9    1    1    1    1    1    1    2    1 
##  523  524  526  527  530  533  534  539  540  545  546  547  548  550  551 
##    1    1    1    1    2    1    2    1    1    1    8    1    1    2    4 
##  556  557  560  561  564  566  567  568  571  573  574  576  580  581  582 
##    1    1    2    1    2    1    2    2    1    1    2    2    1    1    1 
##  584  586  587  589  590  591  592  595  596  600  601  602  605  611  612 
##    2    1    1    1    1    1    1    1    3    7    2    1    1    1    2 
##  620  622  623  625  626  628  630  631  634  636  639  640  644  648  649 
##    2    1    1    2    1    1    1    1    1    1    1    2    1    2    1 
##  650  651  653  656  660  661  664  665  668  670  672  676  677  678  679 
##    2    2    1    2    3    1    1    1    3    3    8    2    3    2    1 
##  682  684  685  686  687  688  689  691  694  695  698  700  701  702  703 
##    1    3    2    1    1    2    5    1    1    1    2    1    1    4    2 
##  704  707  708  709  711  712  713  714  716  717  720  725  727  728  729 
##    3    1    1    2    1    1    1    1    2    1    7    1    1   10    3 
##  730  732  734  738  739  741  742  743  744  745  748  750  752  754  755 
##    1    1    1    1    4    4    3    1    2    1    2    1    1    2    2 
##  756  761  762  764  765  766  767  768  769  772  776  778  779  780  783 
##    5    1    2    2    2    1    1    1    1    1    1    1    1    5    2 
##  784  785  787  788  790  793  795  796  797  798  800  804  806  807  808 
##    1    2    1    1    2    3    3    1    2    1    2    4    2    3    2 
##  809  811  812  813  817  826  828  829  830  831  832  833  834  836  838 
##    2    1    1    2    1    1    1    2    1    1    3    2    1    1    1 
##  840  842  843  844  846  848  850  854  855  857  858  860  862  864  866 
##    5    2    1    2    3    1    2    1    1    1    3    2    5    2    3 
##  868  870  871  872  873  874  875  876  878  880  881  882  883  884  885 
##    1    1    3    2    1    1    1    2    4    3    1    1    1    2    2 
##  886  887  888  892  895  896  898  900  901  902  903  904  908  910  912 
##    3    2    3    1    1    6    1    2    1    2    1    1    1    1    2 
##  913  914  915  918  920  924  925  928  929  930  932  933  936  939  940 
##    1    1    3    1    1    1    1    1    1    1    1    1    1    1    1 
##  941  950  954  956  960  966  971  975  977  978  979  980  981  983  984 
##    2    1    1    1    1    1    1    2    1    2    1    1    1    2    1 
##  985  988  989  992  994  998 1000 1001 1015 1017 1020 1028 1031 1032 1037 
##    1    1    1    1    1    1    1    1    1    1    2    1    1    2    1 
## 1038 1039 1040 1044 1051 1053 1054 1060 1063 1066 1067 1070 1072 1080 1081 
##    1    1    2    1    1    1    1    1    1    1    1    2    1    1    1 
## 1088 1092 1093 1096 1097 1098 1100 1101 1103 1104 1106 1111 1112 1116 1120 
##    1    1    1    1    1    1    1    2    1    1    1    1    1    1    1 
## 1121 1122 1128 1129 1134 1140 1141 1142 1151 1152 1157 1160 1168 1169 1174 
##    1    1    1    1    1    2    1    2    1    1    1    1    1    1    1 
## 1175 1177 1178 1182 1185 1194 1196 1200 1203 1208 1215 1216 1218 1230 1237 
##    1    2    1    1    1    1    1    1    1    2    2    1    1    1    1 
## 1242 1243 1254 1257 1259 1274 1276 1281 1286 1288 1296 1304 1306 1312 1320 
##    1    1    3    1    1    1    1    1    1    1    1    1    1    1    2 
## 1323 1330 1332 1336 1347 1349 1357 1360 1362 1370 1392 1414 1426 1427 1440 
##    1    2    1    1    1    1    1    1    1    1    1    1    1    1    1 
## 1479 1518 1519 1523 1538 1540 1589 1611 1796 1818 1872 2065 
##    1    1    1    1    1    1    1    1    1    1    1    1 
## 
## $GrLivArea
## 
##  334  438  480  520  605  616  630  672  691  693  694  698  708  720  729 
##    1    1    1    1    1    1    6    2    1    1    1    1    1    3    1 
##  747  752  754  764  767  768  773  774  778  780  784  788  789  790  792 
##    2    1    1    1    1    3    1    1    1    1    2    1    2    1    1 
##  796  800  803  804  813  816  825  827  832  833  835  838  840  841  845 
##    2    1    1    1    1    8    1    1    1    2    1    1    1    1    2 
##  848  854  858  860  861  864  866  869  872  874  875  882  884  886  892 
##   10    1    4    1    1   22    1    1    1    1    1    4    1    1    2 
##  893  894  899  900  901  902  904  907  910  912  913  914  918  923  924 
##    1   11    1    3    1    2    3    1    1    9    1    1    1    2    3 
##  925  928  930  932  935  936  938  943  944  948  950  951  952  954  955 
##    1    2    1    1    2    3    1    1    1    3    1    1    3    2    1 
##  958  960  964  965  968  969  970  971  972  974  980  981  985  986  987 
##    3    5    1    1    3    1    1    1    1    1    3    1    1    1    7 
##  988  990  996  999 1002 1003 1004 1005 1006 1008 1012 1015 1020 1022 1026 
##    5    5    2    3    1    1    2    1    1    2    1    1    1    1    2 
## 1028 1029 1032 1034 1039 1040 1041 1044 1047 1048 1050 1052 1053 1054 1056 
##    1    1    1    2    1   14    1    1    1    3    2    2    2    2    6 
## 1057 1060 1062 1063 1065 1067 1068 1069 1072 1073 1074 1077 1078 1080 1082 
##    2    2    1    1    1    1    1    2    3    2    1    3    2    3    1 
## 1086 1088 1090 1092 1094 1095 1096 1097 1098 1099 1100 1102 1103 1108 1109 
##    2    1    1    8    1    1    2    2    1    1    1    1    1    1    1 
## 1110 1111 1112 1113 1114 1116 1117 1118 1120 1121 1122 1123 1124 1125 1126 
##    1    3    1    2    2    1    1    3    2    2    1    1    1    2    3 
## 1128 1130 1131 1132 1134 1135 1136 1137 1138 1140 1141 1142 1144 1145 1146 
##    3    1    2    1    2    1    1    1    1    2    1    1    5    1    1 
## 1148 1150 1152 1154 1155 1158 1159 1163 1164 1165 1166 1167 1173 1176 1178 
##    2    1    3    2    1    2    1    1    2    1    1    2    1    2    2 
## 1180 1181 1183 1184 1188 1190 1192 1194 1196 1198 1199 1200 1203 1204 1208 
##    1    1    1    1    2    1    2    2    3    1    1    9    1    1    4 
## 1211 1212 1214 1215 1216 1217 1218 1220 1221 1223 1224 1225 1226 1228 1229 
##    1    3    3    1    2    2    5    2    2    1    6    1    1    2    2 
## 1230 1232 1234 1235 1236 1240 1241 1242 1244 1246 1247 1248 1250 1251 1252 
##    2    2    1    1    3    1    1    1    1    1    1    2    4    1    5 
## 1253 1256 1258 1261 1262 1264 1265 1266 1268 1269 1271 1274 1276 1277 1279 
##    2    1    4    1    2    1    1    2    3    2    1    1    1    1    1 
## 1283 1284 1285 1287 1288 1291 1294 1296 1297 1298 1301 1302 1304 1306 1308 
##    1    1    2    1    1    1    3    2    1    1    2    5    1    3    1 
## 1309 1310 1314 1316 1317 1319 1320 1322 1324 1327 1328 1334 1336 1337 1338 
##    1    2    5    3    1    1    2    1    3    1    3    1    2    4    1 
## 1339 1340 1342 1343 1344 1346 1347 1348 1349 1350 1352 1355 1357 1358 1360 
##    2    2    1    1    7    1    1    2    1    2    3    2    1    2    3 
## 1362 1363 1364 1365 1367 1368 1369 1370 1372 1374 1375 1376 1378 1381 1382 
##    4    3    1    2    2    3    1    2    1    1    2    2    1    1    4 
## 1383 1385 1386 1387 1389 1391 1392 1393 1394 1395 1396 1400 1402 1405 1406 
##    2    1    1    1    2    1    5    1    2    1    1    1    1    1    1 
## 1411 1412 1414 1416 1419 1422 1425 1426 1428 1429 1430 1431 1432 1434 1436 
##    1    3    4    4    2    3    1    2    2    1    3    2    3    1    1 
## 1437 1440 1441 1442 1445 1446 1452 1453 1456 1458 1459 1464 1466 1468 1469 
##    2    4    2    4    1    1    2    1   10    2    1    2    3    1    1 
## 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1481 1482 1484 1486 1487 
##    3    1    3    1    1    1    1    1    3    4    1    3    6    1    1 
## 1489 1490 1493 1494 1496 1498 1500 1501 1502 1504 1505 1506 1507 1509 1510 
##    3    1    1    6    2    2    3    3    4    3    2    2    1    3    1 
## 1511 1512 1513 1516 1517 1518 1520 1522 1523 1524 1525 1526 1529 1530 1533 
##    1    1    1    1    2    1    2    1    1    2    2    2    1    2    1 
## 1535 1536 1537 1539 1541 1547 1548 1550 1552 1553 1554 1555 1556 1557 1558 
##    3    1    1    2    2    1    2    1    2    1    1    2    2    1    2 
## 1559 1560 1561 1563 1564 1566 1567 1569 1571 1572 1573 1574 1575 1576 1577 
##    1    2    1    1    2    1    2    1    2    2    4    2    1    3    1 
## 1578 1580 1582 1584 1586 1588 1590 1593 1595 1600 1601 1602 1603 1604 1605 
##    2    1    2    1    1    3    1    3    1    3    3    1    1    3    1 
## 1608 1610 1611 1614 1616 1617 1620 1621 1622 1624 1625 1626 1629 1630 1632 
##    1    1    1    1    3    1    3    1    1    1    1    3    2    2    4 
## 1634 1635 1636 1638 1639 1640 1641 1644 1646 1647 1651 1652 1654 1656 1657 
##    1    2    1    1    1    3    1    3    4    3    1    4    1    5    1 
## 1658 1659 1660 1661 1663 1664 1665 1666 1668 1670 1671 1674 1675 1679 1680 
##    1    1    3    3    1    4    2    1    4    1    1    2    1    1    4 
## 1682 1683 1684 1686 1687 1688 1689 1690 1691 1692 1694 1696 1698 1699 1700 
##    2    1    1    1    1    1    3    2    1    1    4    1    1    1    2 
## 1701 1702 1704 1707 1708 1709 1710 1712 1713 1714 1716 1717 1718 1719 1720 
##    1    1    1    1    1    4    5    1    1    1    4    3    3    1    3 
## 1721 1724 1725 1726 1728 1732 1733 1734 1738 1739 1740 1742 1743 1744 1746 
##    2    2    1    1    7    1    2    4    1    1    1    2    1    1    1 
## 1750 1752 1756 1761 1762 1764 1766 1767 1768 1771 1774 1775 1776 1779 1784 
##    2    2    1    1    1    1    1    1    6    1    2    1    3    2    1 
## 1786 1787 1788 1790 1792 1795 1796 1797 1800 1801 1802 1803 1804 1811 1812 
##    3    1    2    2    4    3    2    1    4    2    1    1    1    1    2 
## 1818 1820 1824 1826 1828 1829 1836 1838 1839 1840 1842 1844 1845 1846 1848 
##    1    2    3    2    1    1    2    2    3    1    1    3    1    1    1 
## 1850 1851 1852 1855 1856 1861 1863 1865 1867 1868 1869 1872 1876 1886 1888 
##    2    1    2    2    1    1    1    1    1    2    2    2    1    1    1 
## 1889 1894 1895 1902 1904 1905 1908 1911 1912 1913 1915 1919 1920 1922 1923 
##    1    1    1    2    2    1    2    1    1    1    1    1    3    2    1 
## 1924 1928 1929 1932 1933 1935 1936 1939 1940 1944 1947 1948 1949 1950 1953 
##    1    3    1    1    1    2    1    1    1    1    1    1    1    1    2 
## 1954 1958 1959 1960 1961 1962 1964 1968 1969 1970 1971 1973 1976 1977 1978 
##    1    2    3    2    1    1    2    2    1    1    1    1    1    1    1 
## 1980 1981 1982 1983 1986 1987 1989 1991 1992 1993 2000 2002 2007 2008 2013 
##    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
## 2018 2019 2020 2021 2022 2028 2030 2031 2034 2035 2036 2042 2046 2054 2057 
##    1    1    3    1    1    1    1    2    1    1    1    1    2    1    1 
## 2058 2060 2062 2069 2073 2076 2078 2080 2082 2084 2087 2090 2093 2094 2097 
##    1    2    1    1    1    1    1    2    1    2    1    3    1    1    3 
## 2098 2108 2110 2112 2113 2117 2119 2121 2126 2127 2132 2134 2136 2138 2142 
##    1    1    2    1    1    1    1    1    1    2    1    1    1    1    1 
## 2144 2149 2153 2156 2157 2158 2161 2167 2169 2172 2183 2184 2192 2196 2198 
##    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
## 2200 2201 2207 2210 2217 2223 2224 2229 2230 2234 2236 2240 2243 2256 2259 
##    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
## 2260 2262 2263 2267 2270 2274 2285 2287 2290 2291 2295 2296 2320 2324 2329 
##    1    1    3    1    1    1    1    1    2    2    1    1    2    1    1 
## 2332 2337 2340 2344 2345 2353 2358 2364 2365 2372 2374 2376 2380 2392 2398 
##    1    1    1    1    1    1    2    1    1    1    1    1    1    2    1 
## 2402 2403 2414 2417 2418 2447 2448 2450 2452 2462 2466 2468 2473 2482 2504 
##    1    1    1    1    1    1    1    1    2    1    1    1    1    1    1 
## 2514 2515 2519 2520 2521 2524 2526 2531 2554 2555 2574 2576 2596 2599 2601 
##    1    1    1    2    1    1    2    1    1    1    1    1    1    1    1 
## 2610 2612 2614 2620 2622 2624 2630 2633 2634 2640 2643 2646 2654 2668 2696 
##    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
## 2704 2713 2715 2727 2728 2730 2775 2784 2792 2794 2810 2822 2828 2868 2872 
##    1    1    1    1    1    1    1    1    1    1    1    1    1    1    2 
## 2898 2945 2978 3082 3086 3112 3140 3194 3222 3228 3238 3279 3395 3447 3493 
##    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
## 3608 3627 4316 4476 4676 5642 
##    1    1    1    1    1    1 
## 
## $FullBath
## 
##   0   1   2   3 
##   9 650 768  33 
## 
## $TotRmsAbvGrd
## 
##   2   3   4   5   6   7   8   9  10  11  12  14 
##   1  17  97 275 402 329 187  75  47  18  11   1 
## 
## $GarageFinish
## 
## Fin RFn Unf 
## 352 422 605 
## 
## $GarageCars
## 
##   0   1   2   3   4 
##  81 369 824 181   5 
## 
## $GarageArea
## 
##    0  160  164  180  186  189  192  198  200  205  208  210  213  216  220 
##   81    2    1    9    1    1    1    1    4    3    1    3    1   12    3 
##  225  228  230  234  240  244  246  248  250  252  254  255  256  260  261 
##    2    1    1    2   38    1    2    1    3    5    1    1    2    3    1 
##  264  270  271  273  275  276  280  281  282  283  284  286  287  288  290 
##   24    5    2    2    3    2   16    3    2    1    1    9    1   27    1 
##  292  294  296  297  299  300  301  303  304  305  306  308  309  312  315 
##    1    4    2    5    5   10    2    1    2    2    1   20    1    9    2 
##  318  319  320  322  324  325  326  327  328  330  336  338  342  343  349 
##    1    1    1    1    1    1    2    1    1    1   12    5    1    1    2 
##  350  352  354  358  360  364  366  367  368  370  372  373  375  377  379 
##    1   12    1    1   11    3    1    1    2    1    1    1    1    1    1 
##  380  384  386  388  389  390  392  393  396  397  398  400  402  403  404 
##    6    9    1    3    2    6    3    3    6    3    3   25    4    2    1 
##  405  406  408  409  410  412  413  414  416  418  420  422  423  424  425 
##    1    1    1    2    3    1    1    1    2    2   19    2    1    1    1 
##  426  427  429  430  431  432  433  434  435  436  437  438  439  440  441 
##    1    1    3    4    5    8    2    5    1    2    1    3    2   49    2 
##  442  444  445  447  450  451  452  453  454  455  456  457  458  459  460 
##    4    1    1    2    5    5    3    2    2    1    2    3    1    1    7 
##  461  462  463  466  467  468  470  471  472  473  474  475  476  477  478 
##    6   10    4    2    2    2    4    3    6    2    7    1    2    1    6 
##  479  480  481  482  483  484  486  487  490  492  493  494  495  496  497 
##    1   24    1    2    2   34    3    3    6    6    2    1    4    2    2 
##  498  499  500  501  502  504  505  506  508  509  510  511  512  513  514 
##    2    2    6    1    4   12    3    7    3    1    1    2    2    2    3 
##  515  516  518  520  521  522  523  525  526  527  528  529  530  531  532 
##    1    4    1    8    2    2    1    6    1    5   33    5    5    3    4 
##  533  534  538  539  540  541  542  543  544  546  548  550  551  552  554 
##    2    2    3    9   10    3    2    1    5    6    2    8    2    4    2 
##  555  556  558  560  562  564  565  566  567  569  570  572  573  574  575 
##    1    2    1    5    1   11    2    2    2    2    2   10    2    2    2 
##  576  577  578  582  583  586  588  590  592  594  595  596  598  600  601 
##   47    4    3    1    3    2    8    1    2    1    1    2    1    4    1 
##  602  603  604  605  606  608  610  611  612  613  614  615  616  617  618 
##    1    2    1    1    2    2    2    1    2    1    2    3    1    1    1 
##  619  620  621  622  624  625  626  627  628  630  632  636  639  641  642 
##    2    1    3    1    7    2    3    1    2    3    3    1    1    1    3 
##  644  645  647  648  650  656  660  662  663  665  666  667  668  670  671 
##    2    2    1    7    2    3    9    1    1    1    3    1    1    2    1 
##  672  673  675  676  678  680  682  683  684  685  686  689  690  691  693 
##   15    1    1    5    2    2    1    1    2    1    1    1    1    2    1 
##  694  696  701  702  704  706  708  711  712  714  716  719  720  721  722 
##    1    1    1    2    1    1    1    1    2    1    1    1    5    1    1 
##  726  732  736  738  739  740  746  748  749  750  752  753  754  756  757 
##    1    1    3    1    1    1    2    1    1    3    1    1    1    1    1 
##  758  765  766  768  770  772  774  776  779  782  784  786  788  789  792 
##    3    2    1    1    1    2    2    3    3    1    1    3    1    1    2 
##  795  796  800  804  807  808  810  812  813  816  818  820  824  825  826 
##    1    2    2    1    1    1    1    2    1    1    1    2    1    1    3 
##  830  831  832  833  834  836  839  840  841  842  843  844  846  850  852 
##    1    1    1    1    4    3    2    6    1    1    1    1    1    1    1 
##  853  856  857  858  860  862  864  865  866  868  870  871  872  874  878 
##    1    2    1    1    1    1    2    2    2    2    3    2    1    1    1 
##  880  884  888  889  890  894  895  898  900  902  905  908  912  923  924 
##    3    3    3    1    1    1    2    1    2    1    1    2    1    1    2 
##  928  936  947  954  968  983  995 1014 1020 1025 1043 1052 1053 1069 1134 
##    1    2    1    1    2    1    1    1    1    1    1    2    1    1    1 
## 1166 1220 1248 1356 1390 1418 
##    1    1    1    1    1    1 
## 
## $GarageQual
## 
##   Ex   Fa   Gd   Po   TA 
##    3   48   14    3 1311 
## 
## $GarageCond
## 
##   Ex   Fa   Gd   Po   TA 
##    2   35    9    7 1326 
## 
## $PavedDrive
## 
##    N    P    Y 
##   90   30 1340 
## 
## $SaleType
## 
##   COD   Con ConLD ConLI ConLw   CWD   New   Oth    WD 
##    43     2     9     5     5     4   122     3  1267 
## 
## $SaleCondition
## 
## Abnorml AdjLand  Alloca  Family  Normal Partial 
##     101       4      12      20    1198     125 
## 
## $SalePrice
## 
##  34900  35311  37900  39300  40000  52000  52500  55000  55993  58500 
##      1      1      1      1      1      1      1      2      1      1 
##  60000  61000  62383  64500  66500  67000  68400  68500  72500  73000 
##      3      1      1      1      1      2      1      1      1      1 
##  75000  75500  76000  76500  78000  79000  79500  79900  80000  80500 
##      1      1      1      1      1      3      1      2      4      1 
##  81000  82000  82500  83000  83500  84000  84500  84900  85000  85400 
##      3      3      3      2      1      1      3      1      4      1 
##  85500  86000  87000  87500  88000  89000  89471  89500  90000  90350 
##      1      3      4      1      4      1      1      2      3      1 
##  91000  91300  91500  92000  92900  93000  93500  94000  94500  94750 
##      3      1      2      1      1      3      2      1      1      1 
##  95000  96500  97000  97500  98000  98300  98600  99500  99900 100000 
##      2      2      3      1      3      1      1      1      1      9 
## 101000 101800 102000 102776 103000 103200 103600 104000 104900 105000 
##      1      1      3      1      1      1      1      1      2      5 
## 105500 105900 106000 106250 106500 107000 107400 107500 107900 108000 
##      1      1      3      1      2      3      1      3      1      6 
## 108480 108500 108959 109000 109008 109500 109900 110000 110500 111000 
##      1      1      1      2      1      4      3     13      2      1 
## 111250 112000 112500 113000 114500 114504 115000 116000 116050 116500 
##      1      7      2      6      2      1     12      3      1      1 
## 116900 117000 117500 118000 118400 118500 118858 118964 119000 119200 
##      1      4      2      6      1      4      1      1      7      1 
## 119500 119750 119900 120000 120500 121000 121500 121600 122000 122500 
##      4      1      2      7      4      1      1      1      4      2 
## 122900 123000 123500 123600 124000 124500 124900 125000 125500 126000 
##      1      4      1      1      6      4      2     10      4      3 
## 126175 126500 127000 127500 128000 128200 128500 128900 128950 129000 
##      1      1      9      6      7      1      4      1      1      8 
## 129500 129900 130000 130250 130500 131000 131400 131500 132000 132250 
##      4      4     11      1      3      3      1      3      6      1 
## 132500 133000 133500 133700 133900 134000 134432 134450 134500 134800 
##      6      6      1      1      2      3      1      1      2      1 
## 134900 135000 135500 135750 135900 135960 136000 136500 136900 136905 
##      2     17      2      1      1      1      3      5      1      1 
## 137000 137450 137500 137900 138000 138500 138800 138887 139000 139400 
##      5      1      6      1      3      2      1      1     11      2 
## 139500 139600 139900 139950 140000 140200 141000 141500 142000 142125 
##      1      1      1      1     20      1      8      1      4      1 
## 142500 142600 142953 143000 143250 143500 143750 143900 144000 144152 
##      3      1      1     10      1      2      1      1     10      1 
## 144500 144900 145000 145250 145500 145900 146000 146500 146800 147000 
##      2      1     14      1      1      1      3      1      1      9 
## 147400 147500 148000 148500 148800 149000 149300 149350 149500 149700 
##      1      1      7      3      1      4      1      1      2      1 
## 149900 150000 150500 150750 150900 151000 151400 151500 152000 153000 
##      4      4      1      1      1      5      1      1      6      3 
## 153337 153500 153575 153900 154000 154300 154500 154900 155000 155835 
##      1      3      1      2      5      1      1      1     14      1 
## 155900 156000 156500 156932 157000 157500 157900 158000 158500 158900 
##      1      4      1      1      6      2      2      6      1      1 
## 159000 159434 159500 159895 159950 160000 160200 161000 161500 161750 
##      4      1      3      1      1     12      1      2      2      1 
## 162000 162500 162900 163000 163500 163900 163990 164000 164500 164700 
##      4      1      2      4      2      1      1      3      2      1 
## 164900 164990 165000 165150 165400 165500 165600 166000 167000 167240 
##      1      1      8      1      1      3      1      2      4      1 
## 167500 167900 168000 168500 169000 169500 169900 169990 170000 171000 
##      3      2      4      3      3      2      1      1      8      5 
## 171500 171750 171900 172000 172400 172500 172785 173000 173500 173733 
##      1      1      1      1      1      5      1      7      1      1 
## 173900 174000 174500 174900 175000 175500 175900 176000 176432 176485 
##      1      7      1      1      9      3      2      8      1      1 
## 176500 177000 177500 178000 178400 178740 178900 179000 179200 179400 
##      2      5      3      7      1      1      1      3      2      1 
## 179500 179540 179600 179665 179900 180000 180500 181000 181134 181500 
##      1      1      1      1      5     10      4      7      1      1 
## 181900 182000 182900 183000 183200 183500 183900 184000 184100 184750 
##      1      1      1      1      1      1      1      4      1      1 
## 184900 185000 185500 185750 185850 185900 186000 186500 186700 187000 
##      1     10      1      1      1      1      1      2      1      3 
## 187100 187500 187750 188000 188500 188700 189000 189950 190000 191000 
##      1      6      1      3      1      1      6      1     13      4 
## 192000 192140 192500 193000 193500 193879 194000 194201 194500 194700 
##      5      1      2      3      2      1      3      1      3      1 
## 195000 195400 196000 196500 197000 197500 197900 198500 198900 199900 
##      3      1      3      2      4      2      3      1      1      2 
## 200000 200100 200141 200500 200624 201000 201800 202500 202665 202900 
##      8      1      1      2      1      3      1      3      1      1 
## 203000 204000 204750 204900 205000 205950 206000 206300 206900 207000 
##      2      2      1      1      6      1      1      1      1      2 
## 207500 208300 208500 208900 209500 210000 211000 212000 212900 213000 
##      5      1      1      2      1      5      2      3      1      3 
## 213250 213490 213500 214000 214500 214900 215000 215200 216000 216500 
##      1      1      2      5      1      1      8      1      1      1 
## 216837 217000 217500 218000 219210 219500 220000 221000 221500 222000 
##      1      2      1      1      1      3      5      2      1      3 
## 222500 223000 223500 224000 224500 224900 225000 226000 226700 227000 
##      2      1      2      2      1      2      6      3      1      3 
## 227680 227875 228000 228500 228950 229000 229456 230000 230500 231500 
##      1      1      2      2      1      1      1      8      1      2 
## 232000 232600 233000 233170 233230 234000 235000 235128 236000 236500 
##      3      1      1      1      1      2      7      1      2      2 
## 237000 237500 238000 239000 239500 239686 239799 239900 240000 241000 
##      2      1      1      6      1      1      1      1      6      1 
## 241500 242000 243000 244000 244400 244600 245000 245350 245500 246578 
##      2      2      1      3      1      1      1      1      1      1 
## 248000 248328 248900 249700 250000 250580 251000 252000 252678 253000 
##      2      1      1      1      8      1      1      1      1      1 
## 253293 254000 254900 255000 255500 255900 256000 256300 257000 257500 
##      1      1      1      2      1      1      2      1      1      1 
## 258000 259000 259500 260000 260400 261500 262000 262280 262500 263000 
##      1      1      1      6      1      1      1      1      2      1 
## 263435 264132 264561 265000 265900 265979 266000 266500 267000 268000 
##      1      1      1      1      1      1      2      1      1      2 
## 269500 269790 270000 271000 271900 272000 274000 274300 274725 274900 
##      1      1      3      2      1      2      1      1      1      1 
## 274970 275000 275500 276000 277000 277500 278000 279500 280000 281000 
##      1      5      1      1      2      1      2      1      4      1 
## 281213 282922 283463 284000 285000 286000 287000 287090 289000 290000 
##      1      1      1      2      3      1      2      1      1      5 
## 293077 294000 295000 295493 297000 299800 301000 301500 302000 303477 
##      1      1      1      1      1      1      1      1      2      1 
## 305000 305900 306000 307000 309000 310000 311500 311872 312500 313000 
##      1      1      1      1      1      2      1      1      1      1 
## 314813 315000 315500 315750 316600 317000 318000 318061 319000 319900 
##      1      4      1      1      1      1      2      1      1      1 
## 320000 324000 325000 325300 325624 326000 328000 328900 333168 335000 
##      4      1      4      1      1      1      1      1      1      3 
## 336000 337000 337500 339750 340000 341000 342643 345000 348000 350000 
##      1      1      1      1      2      1      1      2      1      2 
## 354000 359100 360000 361919 367294 369900 370878 372402 372500 374000 
##      1      1      1      1      1      1      1      1      1      1 
## 375000 377426 377500 378500 380000 381000 383970 385000 386250 392000 
##      1      1      1      1      1      1      1      2      1      1 
## 392500 394432 394617 395000 395192 402000 402861 403000 410000 412500 
##      1      1      1      1      1      1      1      1      1      1 
## 415298 423000 424870 426000 430000 437154 438780 440000 446261 451950 
##      1      1      1      1      1      1      1      1      1      1 
## 465000 466500 475000 485000 501837 538000 555000 556581 582933 611657 
##      1      1      1      1      1      1      1      1      1      1 
## 625000 745000 755000 
##      1      1      1 
## 
## $SalePriceCat
## 
##   1  10   2   3   4   5   6   7   8   9 
## 146 145 149 144 150 143 144 146 149 144

```## R Markdown